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Finding the Fourth Proportional to 475,235.50, 712,847.10 and 115,409.30

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Solution

The fourth proportional to 475,235.50, 712,847.10 and 115,409.30 is: 173,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,235.50 : 712,847.10 = 115,409.30 : x
  2. Step 2: Convert to fraction form
    475,235.50/712,847.10 = 115,409.30/x
  3. Step 3: Cross multiply
    475,235.50x = 712,847.10 × 115,409.30
  4. Step 4: Simplify right side
    475,235.50x = 82,269,186,049.61
  5. Step 5: Solve for x
    x = 82,269,186,049.61/475,235.50
  6. Step 6: Final answer
    x = 173,112.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.